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Finding the Third Proportional to 298,988 and 463,427

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Solution

The third proportional to 298,988 and 463,427 is: 718,305.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,988 : 463,427 = 463,427 : x
  2. Step 2: Convert to fraction form
    298,988/463,427 = 463,427/x
  3. Step 3: Cross multiply
    298,988x = 463,427 × 463,427
  4. Step 4: Simplify right side
    298,988x = 214,764,584,329
  5. Step 5: Solve for x
    x = 214,764,584,329/298,988
  6. Step 6: Final answer
    x = 718,305.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.